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arXiv · 1508.05072

An absolute characterisation of locally determined omega-colimits

Ohad Kammar
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Abstract

Characterising colimiting omega-cocones of projection pairs in terms of least upper bounds of their embeddings and projections is important to the solution of recursive domain equations. We present a universal characterisation of this local property as omega-cocontinuity of locally continuous functors. We present a straightforward proof using the enriched Yoneda embedding. The proof can be generalised to Cattani and Fiore's notion of locality for adjoint pairs.

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Ohad Kammar. 2015-08-18. An absolute characterisation of locally determined omega-colimits. https://arxiv.org/abs/1508.05072

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